Question

which is a pair of vertical angles? ∠trv and ∠wru ∠wrv and ∠srw ∠vru and ∠srt ∠trs and ∠vrw

Explanation:

Step1: Recall vertical angles definition

Vertical angles are opposite angles formed by two intersecting lines, they are equal and share a common vertex.

Step2: Analyze each option

• Option 1: \( \angle TRV \) and \( \angle WRU \) – Not vertical (no opposite intersection).
• Option 2: \( \angle WRV \) and \( \angle SRW \) – Share a side, not vertical.
• Option 3: \( \angle VRU \) and \( \angle SRT \) – Opposite angles from intersecting lines \( TV \) and \( SW \), common vertex \( R \).
• Option 4: \( \angle TRS \) and \( \angle VRW \) – Not opposite angles.

Answer:

\( \angle VRU \) and \( \angle SRT \) (the third option, i.e., the one with \( \angle VRU \) and \( \angle SRT \))